This result for the 3-2 model is the one-loop renormalization group equations and tree-level matching.
However, the result has been shown to not hold for one-loop matching in supersymmetry [1]} and two-loop renormalization group equation for the Weinberg operator coefficient \(\kappa \)  [2]}.
Inclusion of all two-loop renormalization group equations [3]}, [4]} and complete one-loop level matching in the Standard Model could be interesting.
Here we use the one-loop equations and tree-level matching to prepare, for section REF , on how a rank degenerate matrix remains that way even after renormalization group effects are considered.
